- #1
kathrynag
- 598
- 0
Homework Statement
Let G1 and G2 be groups, with subgroups H1 and H2 respectively. Show
that {(x1,x2) such that x1 is in H1, x2 is in H2} is a subgroup of the
direct product G1 x G2
Homework Equations
The Attempt at a Solution
let G1, G2 be groups with H1, H2 subgroups.
Let (x1,x2) such that x1 is in H1 and x2 is in H2
By definition of a direct product, we can say H1 x H2=(x1,x2)
We want G1 x G2= (x1,x2). Not sure how to get there.